Ontario, Canada · Curriculum spine
Grade 9
42 concepts across 1 subject. Codes follow the ministry's own expectation numbers; where a course is broken into bites (chapter.bite), each bite names the expectations it covers.
Mathematics (MTH1W)
The Ontario Curriculum, Grade 9: Mathematics, 2021 (de-streamed) · 42 concepts
Strand A1
Social-Emotional Learning Skills and the Mathematical Processes
Persevering, managing stress, working with others, and using the mathematical processes.
- A1.1Coming to StudioThinking like a mathematicianUse the mathematical processes: problem solving, reasoning, reflecting, connecting, communicating, and keep going when it is hard.
Chapter 110
Chapter 1 · Numbers & Sets
Unit 1 at school (11 days). What kinds of numbers there are, how they behave, and the rules that never break.
- 1.1Coming to StudioSets of numbers, part 1Counting numbers, then zero, then the negatives: natural, whole and integer, and how the sets sit inside each other.
- 1.2Coming to StudioSets of numbers, part 2, and where numbers came fromFractions and decimals that end or repeat are rational; √2 and π are not. Plus the 5 000-year story of how we got our digits.
- 1.3Coming to StudioIntegersA sign says which side of zero. Add, subtract, multiply and divide signed numbers and know why the rules hold.
- 1.4Coming to StudioPowers and scientific notationWrite the powers out and the exponent laws appear. Then walk the decimal point to write huge and tiny numbers.
- 1.5Coming to StudioRoundingFind the target digit, look at the one after it, and let the rest go. Decimal places and significant figures.
- 1.6Coming to StudioOrder of operationsBEDMAS: brackets, exponents, then divide and multiply left to right, then add and subtract left to right.
- 1.7Coming to StudioFractionsA fraction is a count of one kind of piece. Compare with common pieces; add and subtract with common denominators; flip to divide.
- 1.8Coming to StudioInfinity and limitsInfinitely many is not a big number, it is a list that never ends. A limit is what a sequence gets closer and closer to.
- 1.9Coming to StudioDensityBetween any two rational numbers there is always another one. Integers do not do that.
- 1.10Coming to StudioPercent and ratesPercent is a fraction of 100; a rate is an amount for one. Not on the school's Unit 1 handout, here so nothing on the Ministry list is missed.
Strand C15
Algebra
Expressions, equations, coding, and linear relations.
- C1.1Coming to StudioWhere an algebra idea came fromResearch the history of an algebraic concept, like the equals sign or variables.
- C1.2Coming to StudioWriting expressions for patternsCreate algebraic expressions that generalize a relationship shown in words, tables or diagrams.
- C1.3Coming to StudioAre these expressions equal?Compare expressions using properties of operations, substitution and models.
- C1.4Coming to StudioSimplifying expressionsCollect like terms and apply the distributive property to simplify expressions.
- C1.5Coming to StudioCreating and solving equationsWrite an equation for a situation, solve it, and check the solution.
- C2.1Coming to StudioCoding an algebra ideaWrite code that shows an algebraic concept, like evaluating an expression for many inputs.
- C2.2Coming to StudioDecomposing a problem into codeBreak a situation into computational steps and write code that runs them.
- C2.3Coming to StudioReading and changing codePredict what code will output and alter it to meet new constraints.
- C3.1Coming to StudioLinear or not?Compare graphs, tables and equations of linear and non-linear relations and explain how to tell them apart.
- C3.2Coming to StudioRepresenting linear relationsShow a linear relation with a table, a graph and an equation, and move between them.
- C3.3Coming to StudioWhere two lines meetCompare two linear relations and interpret their point of intersection in context.
- C4.1Coming to StudioRate of changeInterpret slope as a constant rate of change in a linear relation, and initial value as the intercept.
- C4.2Coming to StudioGraphing from an equationGraph lines given as x = k, y = k, ax + by = k and y = mx + b.
- C4.3Coming to StudioTransforming linesTranslate, reflect and rotate a line and describe how its equation changes.
- C4.4Coming to StudioEquation from a graph or tableFind the equation of a line from two points, a graph or a table.
Strand D6
Data
One- and two-variable data, scatter plots, and mathematical modelling.
- D1.1Coming to StudioBig data and its implicationsDescribe a current situation that involves a large amount of data and its potential impacts.
- D1.2Coming to StudioOne-variable dataRepresent and analyse one-variable data with appropriate graphs and summary measures.
- D1.3Coming to StudioScatter plots and lines of best fitCreate a scatter plot for two variables, describe the trend and draw a line of best fit.
- D1.4Coming to StudioPredicting and correlationUse a line of best fit to make predictions and describe the strength of a correlation.
- D2.1Coming to StudioWhy model mathematicallyDescribe the value of mathematical modelling and how it is used to make decisions.
- D2.2Coming to StudioModelling a real situationApply the modelling process to a real-life situation and communicate the results.
Strand E6
Geometry and Measurement
Geometric relationships, units, dimensions, and composite measures.
- E1.1Coming to StudioWhere a geometry idea came fromResearch the history of a geometric concept, like pi or the Pythagorean theorem.
- E1.2Coming to StudioDesigns with geometric relationshipsCreate and analyse designs using angles, symmetry and shapes.
- E1.3Coming to StudioConverting unitsSolve problems converting within and between measurement systems.
- E1.4Coming to StudioChanging dimensionsShow how changing a dimension changes perimeter, area, surface area and volume.
- E1.5Coming to StudioComposite shapes and solidsSolve problems involving perimeter, area, surface area and volume of composite figures.
- E1.6Coming to StudioPythagoras and similar trianglesUse the Pythagorean theorem and similar triangles to find unknown lengths.
Strand F4
Financial Literacy
Financial decisions, appreciation and depreciation, credit, budgets.
- F1.1Coming to StudioLearning from a financial situationAnalyse a past or current financial situation and what it teaches about decisions.
- F1.2Coming to StudioAppreciation and depreciationIdentify things that gain or lose value over time and model the change.
- F1.3Coming to StudioComparing creditCompare interest rates, fees and rewards on credit options and explain the trade-offs.
- F1.4Coming to StudioAdjusting a budgetModify a budget to reflect a change in circumstances and justify the changes.